Given that the 6.5% interest on the $5,500 loan is deferred during college, the amount Alex will pay upon graduation is $81.67 monthly.
How can the amount Alex will pay be found?The number of years for the loan = 10-year
The loan amount = $5,500
The number of years for the interest = 6 years
The monthly payment formula is presented as follows;
[tex]a = \frac{p \times \frac{r}{12} \times {(1 + \frac{r}{12} )}^{84} }{({1 + \frac{r}{12} )}^{84} - 1}[/tex]
Which gives;
[tex]a = \frac{5500 \times \frac{0.065}{12} {(1 + \frac{0.065}{12} })^{84} }{{(1 + \frac{0.065}{12} })^{84}} = 81.67[/tex]
The amount Alex will pay upon graduation is $81.67 each monthLearn more about monthly payment on loan formula;
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Please Help I'm Confused.
Answer:
The last one
Step-by-step explanation:
Look at A and A'
It moved 4 units to the right and 1 unit down
The same with B, B' and C, C'
please guys help me if u answer it correctly I will brainlist u
Answer:
1= 40, 25, 10
2= 9,375, 46,875, 234,375
3= 234, 729, 2,187
4= 192, 384, 768
You place some money in a savings account the savings account earns 2% simple interest. explain how you can find the interest earns after x years.
Find the missing length of the triangle.
Answer:
11 [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] (Pythagorean Theorem)
[tex]a^{2}[/tex] + [tex]4^{2}[/tex] = [tex](12\frac{1}{3})^{2}[/tex] (square numbers)
[tex]a^{2}[/tex] + 16 = 152 [tex]\frac{1}{9}[/tex] (subtract 16, both sides
[tex]a^{2}[/tex] = 136 [tex]\frac{1}{9}[/tex] (square root both sides)
a = 11 [tex]\frac{2}{3}[/tex] or 11.66 repeating
Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!
Answer:
UM make a graph if you want so yea
Step-by-step explanation:
[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]
Use quadratic formula
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]
[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]
[tex]\\ \rm\rightarrowtail x=3,1[/tex]
4x + y = 10
7x + 2y = 17
Answer:
x = 3, y = - 2
Step-by-step explanation:
By substitution method,
4x + y = 10 -------> equation 1.
7x + 2y = 17 -------> equation 2.
From equation 1,
y = 10 - 4x ------> equation 3.
Substitute equation 3 in 2,
7x + 2 ( 10 - 4x ) = 17
7x + 20 - 8x = 17
7x - 8x = 17 - 20
- x = - 3
x = 3
Substitute x = 3 in equation 1,
4 ( 3 ) + y = 10
12 + y = 10
y = 10 - 12
y = - 2
Hence,
x = 3
y = - 2
✿————✦————✿————✦————✿
:
=
=−
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:
* , . .
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* / − +.
* − / + / , +=.
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pa brainliest kung ayaw, edi wag** char
Please help i am confused
Answer: (4)
Step-by-step explanation:
The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.
Each glass mug below has a radius of 2 inches and a height of 3.75 inches. If the mugs are
sold in sets of 4, find the total surface area of the mugs, not including
the handles.
Total surface area includes the area of the 2 bases and the area of the curve surface area this was found to be 289.064 square inches for all four mugs
Mensuration of SolidsGiven Data
Radius r = 2 inchesHeight h = 3.75 inchesNumber of mugs = 4Total surface area of cylinder = 2πr(r + h)
TSA of 1 mug = 2*3.142*2(2+3.75)
TSA of 1 mug = 12.568(5.75)
TSA of 1 mug = 72.266 square inches
if the total surface area of one mug is 72.266 square inches
hence the total surface area of 4 mugs will be
= 72.266*4
= 289.064 square inches
Learn more about cylinders here:
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PLEASE I NEED HELP!!! BRAINLIEST FOR THE FASTEST ANSWER
Hello!
[(4πr³)/3]/2
r = 7,5yd
[4 *3,14*7,5³/3]/2
=> 883, 125yds ³
What is the measure of
Answer:
25
if j 25 L is going to be 25
Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?
how many different 3 digit numbers can be formed using the digits 9,3,4,7 and 6? assume no number can be used more than once
Answer:
57
Step-by-step explanation:
976/974/973/967/964/963/947/946/943/937/936/934/796/794/793/769/764/763/749/746/743/739/736/734/697/694/693/679/674/673/649/647/643/639/637/634/497/496/493/479/476/473/439/437/436/397/396/394/379/376/374/369/367/364/349/347/346
Evaluate the expression if r = 1/6 r times r and then you multiply the answer by 3
Answer:
r = ⅙
⅙ × ⅙ = 0.03
0.03 × 3 = 0.09
i got the first part but cant figure out the second, help would be appreciated
Answer:
see explanation
Step-by-step explanation:
look at the explanation& answer photo
PLEASE HELP!!! will give brainlisest
Answer:
[tex]\sf \dfrac{x}{8}-22[/tex]
Explanation:
[tex]\rightarrow \sf \left(\dfrac{7}{8}x-4\right)-3\left(\dfrac{1}{4}x+6\right)[/tex]
remove parenthesis
[tex]\sf \rightarrow \dfrac{7}{8}x-4-\dfrac{3x}{4}-18[/tex]
expand
[tex]\rightarrow \sf \dfrac{7x}{8}-\dfrac{3x}{4}-22[/tex]
simplify
[tex]\rightarrow \sf \dfrac{x}{8}-22[/tex]
Answer:
[tex]\frac18x-22[/tex]
Step-by-step explanation:
Given expression:
[tex](\frac78x-4)-3(\frac14x+6)[/tex]
Expand:
[tex]\implies \frac78x-4-\frac34x-18[/tex]
Gather like terms:
[tex]\implies \frac78x-\frac34x-4-18[/tex]
Change 3/4 into eighths:
[tex]\implies \frac78x-\frac68x-4-18[/tex]
Combine like terms:
[tex]\implies \frac18x-22[/tex]
Using your answer from #7, find the perimeter of the triangle.
Answer From #7: 9
Answer:
58
Step-by-step explanation:
x=9
3(9) + 1 + 4(9) -8 + (9) - 7 = 58
The roberts family is getting an inground circular pool with a radius of nine feet. The company needs to dig out an extra three feet all the way around the pool to have room for plumbing. What is the area of the grass that will be removed?
Answer:
197.92
Step-by-step explanation:
radius of bigger circle is 12 (9 + 3). Area of cirlce is Pi(R²)
12² is 144 so 144Pi
9² is 81 (for the inner circle) so 81Pi
144 - 8 is 63Pi which in decimal form is 197.92.
i need help with this
Answer:
if c=1
then,
28-1×1×1+6=33
if c=2
then,
28-2×2×2+6=26
if c=3
then,
28-3×3×3+6=7
Expression: 28 - c^3 + 6
If c = 1...
28 - (1)^3 + 6
28 - 1 + 6
27 + 6
33
If c = 2...
28 - (2)^3 + 6
28 - 8 + 6
20 + 6
26
If c = 3...
28 - (3)^3 + 6
28 - 27 + 6
1 + 6
7
Hope this helps!
Question is in the picture:
Answer:
its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a
Step-by-step explanation:
Answer:
A ) the Value of t is greater than 8
Step-by-step explanation:
6t>48
t>48/6
t>8
I need help!!!!
The square below has the given side lengths. x is positive
Answer:
Value of X: X=2
Length of One Side: 31
Area: 961u^2
Perimeter: perimeter = 124
Step-by-step explanation:
Set the sides equal to each other, simplify and then use quadratic equation. One result is positive and the other is negative, shape's sides have to be positive so use the positive value for X.
Answer:
See below, please
Step-by-step explanation:
This square
[tex]3 {x}^{2} + 6x + 7 = 2 {x}^{2} - 2x + 27[/tex]
[tex](3 {x}^{2} - 2 {x}^{2} ) + (6x + 2x) + (7 - 27) = 0[/tex]
[tex] {x}^{2} + 8x - 20 = 0[/tex]
[tex](x + 10) \times (x - 2) = 0[/tex]
Hence,
[tex]x1 = 2[/tex]
[tex]x2 = - 10[/tex]
Because x is positive, So,
[tex]x = 2[/tex]
Then we know
The length of one of the sides
[tex] = 3 {x}^{2} + 6x + 7 = (3 \times {2}^{2}) + (6 \times 2) + 7 = (3 \times 4) + 12 + 7 = 31[/tex]
The area of the square
[tex] = {31}^{2} = 961[/tex]
The perimeter of the square
[tex] = 31 \times 4 = 124[/tex]
Use the function below to find f(-4).
fx) = 2^x
Answer:
1/16
Step-by-step explanation:
plug in -4 instead of the x.
if the exponent is negative it can be written as 1/2^4
so the answer is 1/16
Which expression is equivalent to cosine (startfraction pi over 2 endfraction r) for all values of r?
The trigonometric expression cos (π/2 + r) is equivalent to the negative of sin r. Then the correct option is C.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The trigonometric expression is given below.
[tex]\cos (\dfrac{\pi}{2} + r)[/tex]
We know that the formula
[tex]\cos (\dfrac{\pi}{2} + r) = -\sin r[/tex]
Thus, the cos (π/2 + r) is equivalent to the negative of sin r.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
Answer:
C?
Step-by-step explanation:
, someone confirm
Please Help Will GIve Brainlest! Locks in 1 Hour!
Answer:
-3.274
Step-by-step explanation:
attached
Hopes this helps
{please mark me brainiest}
What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.
In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Ali graphs the function f(x) = –(x + 2)2 – 1 as shown.
On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 2, negative 1), and goes through (negative 1, 0). A vertical dashed line at (negative 2, 0) is parallel to the y-axis.
Which best describes the error in the graph?
The axis of symmetry should be x = –1.
The axis of symmetry should be x = 2.
The vertex should be a maximum.
The vertex should be (–2, 1).
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation:
I got it right on Edge.
Answer:
The axis of symmetry should be x = 2.
Step-by-step explanation it took the test
How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?
Answer:
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Step-by-step explanation:
A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.
A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.
It factors to (a+b)(a-b).
Answer:
Step-by-step explanation:
An example is a^2 - b^2.
Also 64 - 49 (as 64 are both perfect squares).
The way to factor is by using the identity:
a^2 - b^2 = (a - b)(a + b) ( a + in one parentheses and - in the other)
Examples:
x^2 - 4y^2 = (x - 2y)(x + 2y) [ x is the square root of x^2 and 2y is square root of 4y^2)
144 - 16 = (12 - 4)(12 + 4)
9x^2 - 36y^2 = (3x - 6y)(3x + 6y)
Jake has 900 cm³ of material. He uses 14. 5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4. How much more material does Jake need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jake needs an additional Choose. Cm³ of material to make the second prism.
A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.
Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,
[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]
Substitute the values,
[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]
Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).
Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,
The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake
The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³
= 42.5 cm³
Hence, the amount of more material that is needed by Jake is 42.5 cm³.
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Please help simplify fractions
Answer:
this is easy the a sewer is 12
Unit 4: Congruent Triangles Homework 2: Angles of Triangles
The value of the third angle that can be found in the information given about the congruent triangles will be 45°.
How to solve the triangle?From the complete information, the angles that are given in the triangle are 76° and 59°.
It should be noted that the value of the total angles that are in a triangle is 180°. Therefore, the value of the last angle will be:
= 180° - (76° + 59°)
= 180° - 135°
= 45°
Learn more about triangles on:
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What is m _BAC?
A) 40°
B) 60°
C) 70°
D) 80°